Step-by-step explanation:
First, You would solve what you can which would be the equation on the left Which will get you 4096. After that its just solving for P
4096=(4^p)^2
64=4^p (you would take the square root of 4096 to get 64)
Then, Since 64 is a perfect Cube root of 4, P will equal 3
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by separating the variables
∴ y dy = -x dx
integrating both sides with respect to x
∴ ∫y dy = ∫-x dx
∴

finding c using initial condition y(2) = 2.
∴

∴ c = 4
∴

multiplying all the equation by 2
∴ y² = -x² + 8
∴ x² + y² = 8
The resultant equation represents the equation of the circle
with center (0,0) and radius = √8 = 2√2
so, the domain of this function is [-2√2 , 2√2]
See the attached figure
Answer:
376.8
Step-by-step explanation:
Formula Volume Cone = πr² * h/3
Volume = 3.14 * 36 * 3 1/3
Volume ≈ 376.8
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-Chetan K
His dog will drink 112oz a week
It is 14 cups
It is 5.81 pints
It is 3.5 quarts